Variational solution of the gross-neveu model: Finite N and renormalization
| Autor: | Frederic Geniet, J.-L. Kneur, C. Arvanitis, M. Iacomi, A. Neveu |
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| Předmět: |
Physics
Condensed Matter::Quantum Gases High Energy Physics - Theory Nuclear and High Energy Physics High Energy Physics::Lattice FOS: Physical sciences Astronomy and Astrophysics Renormalization group Free field Atomic and Molecular Physics and Optics Renormalization High Energy Physics - Phenomenology High Energy Physics - Phenomenology (hep-ph) Gross–Neveu model High Energy Physics - Theory (hep-th) Point (geometry) Mathematical physics |
| Zdroj: | Scopus-Elsevier |
| Popis: | We show how to perform systematically improvable variational calculations in the $O(2N)$ Gross-Neveu model for generic $N$, in such a way that all infinities usually plaguing such calculations are accounted for in a way compatible with the perturbative renormalization group . The final point is a general framework for the calculation of non-perturbative quantities like condensates, masses etc$\ldots$, in an asymptotically free field theory. For the Gross-Neveu model, the numerical results obtained from a ``2-loop'' down to low values of $N$. 35 pages, Latex, 5 figures. Correction of a trivial mistake in the Pad\'e approximant numerical program leads to a significant improvement of the variational results for the mass gap, for arbitrary N. A more complete comparison of different Pad\'e approximants is performed. Text modified according to these new results, one figure and two references added |
| Databáze: | OpenAIRE |
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